2. William James Calhoun To translate verbal expressions into mathematical expressions and vice versa. This section is the basics of the basics. Terms to become familiar with: variables symbol used to express an unspecified number algebraic expressions one or more numbers and variables along with one or more arithmetic operations factors quantities that are being multiplied product the result of factors being multiplied 3. William James Calhoun EXAMPLE 1: Write an algebraic expression for each verbal expression. a. three times a number x subtracted from 24 b. 5 greater than half of a number t EX1EX1 4. William James Calhoun EXAMPLE 1: Write an algebraic expression for each verbal expression. a. m increased by 5 b. the difference of x and 9 c. 7 times the product of x and t 5. William James Calhoun EXAMPLE 2: Write a verbal expression for each algebraic expression. a. (3 + b) y b. 5y + 10x EX2EX2 6. William James Calhoun EXAMPLE 2: Write a verbal expression for each algebraic expression. a. 9t b. 8 + a c. 7 3y 7. William James Calhoun More terms you will need to become familiar with: power an expression with a superscript representing a number multiplied by itself a certain number of times Examples of powers: 54 and x3 base the number or variable that is multiplied exponent the superscript number that signifies the number of times multiplication should occur 45 = 4 * 4 * 4 * 4 * 4 four is multiplied by itself five times { = 1024 8. William James Calhoun EXAMPLE 3: Write a power that represents the number of smallest squares in the large square. EX3EX3 Count the number of squares along one side. There are 8 squares in each row. Count the number of squares along the other side. There are 8 squares in each column. To find the number of smallest squares, you would multiply 8 * 8. 8 * 8 can be written as a power by 1) writing the base, 8, once 2) writing the number of times multiplied, 2, once superscripted Answer: 82 9. William James Calhoun EXAMPLE 3: Write a power that represents the number of smallest squares in the large square. 10. William James Calhoun EXAMPLE 4: Evaluate 34 . EX4EX4 Method 1 Write the problem out in long form. 3 * 3 * 3 * 3 Multiply in small steps. 3 * 3 = 9 9 * 3 = 27 27 * 3 = 81 Method 2 Use your calculator. Hit the 3 key. Hit the power key ^ or yx . Hit the 4 key. Hit the = key. Answer: 81. 11. William James Calhoun EXAMPLE 4: Evaluate each expression. a. 35 b. 53 12. William James Calhoun PAGE 8 #15 39 odd